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Finding the Fourth Proportional to 704,490.29, 972,198.46 and 382,200.38

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Solution

The fourth proportional to 704,490.29, 972,198.46 and 382,200.38 is: 527,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,490.29 : 972,198.46 = 382,200.38 : x
  2. Step 2: Convert to fraction form
    704,490.29/972,198.46 = 382,200.38/x
  3. Step 3: Cross multiply
    704,490.29x = 972,198.46 × 382,200.38
  4. Step 4: Simplify right side
    704,490.29x = 371,574,616,300.67
  5. Step 5: Solve for x
    x = 371,574,616,300.67/704,490.29
  6. Step 6: Final answer
    x = 527,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.